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621306444 = 223112449953
BaseRepresentation
bin100101000010000…
…110001001001100
31121022002122012210
4211002012021030
52233023301234
6141352430420
721253006023
oct4502061114
91538078183
10621306444
11299790800
121540a8410
139b948865
145c7318ba
153982abe9
hex2508624c

621306444 has 72 divisors (see below), whose sum is σ = 1598713200. Its totient is φ = 187658240.

The previous prime is 621306421. The next prime is 621306451. The reversal of 621306444 is 444603126.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 651472 + ... + 652424.

It is an arithmetic number, because the mean of its divisors is an integer number (22204350).

Almost surely, 2621306444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 621306444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (799356600).

621306444 is an abundant number, since it is smaller than the sum of its proper divisors (977406756).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

621306444 is a wasteful number, since it uses less digits than its factorization.

621306444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1431 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The square root of 621306444 is about 24926.0194174682. The cubic root of 621306444 is about 853.3004067834.

The spelling of 621306444 in words is "six hundred twenty-one million, three hundred six thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 121 132 242 363 449 484 726 898 953 1347 1452 1796 1906 2694 2859 3812 4939 5388 5718 9878 10483 11436 14817 19756 20966 29634 31449 41932 54329 59268 62898 108658 115313 125796 162987 217316 230626 325974 345939 427897 461252 651948 691878 855794 1283691 1383756 1711588 2567382 4706867 5134764 9413734 14120601 18827468 28241202 51775537 56482404 103551074 155326611 207102148 310653222 621306444